250076 VO Measure and integration theory (2022W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

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Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Monday 03.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 04.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 10.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 11.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 17.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 18.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 24.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 25.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 31.10. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 07.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 08.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 14.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 15.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 21.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 22.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 28.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 29.11. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 05.12. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 06.12. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 12.12. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 13.12. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 09.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 10.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 16.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 17.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 23.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 24.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 30.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 31.01. 08:00 - 09:30 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

The theory of measure and integration belongs to the foundations of modern analysis, and provides the formal framework for probability theory. This course introduces its central concepts and results (discussing in particular: existence, uniqueness, basic properties, and examples of measures; the abstract Lebesgue integral, convergence theorems, and spaces of integrable functions; product measures; measures with densities; applications to real analysis), and offers brief appetizers for some more advanced topics.

Assessment and permitted materials

oral exam

Minimum requirements and assessment criteria

Thorough understanding and a working knowledge of the core part of the material presented in the lectures is required for passing the exam.

Examination topics

The material presented in the lectures; a more detailed description of what exactly is expected in the exam will be made available on https://www.mat.univie.ac.at/~bruin/VO_Measure_Theory_2022.html

Reading list

Will be given on https://www.mat.univie.ac.at/~bruin/VO_Measure_Theory_2022.html, but Chapters 3-13 of the online source https://www.math.wustl.edu/~victor/classes/ma5051/rags100514.pdf gives a fair indication.

Association in the course directory

MSTM

Basic courses, speicialization "Stochastics"

Master Mathematics (821 [2] - Version 2016) ➡ Elective Modules (75 ECTS)

Last modified: Th 18.01.2024 00:20